Author: Anonymous

Which of the following is the partial fractions decomposition of the rational function \[f(x)=\frac{5x^2+1}{(x^2-1)^2(x^2+9)}\;\;?\]

Order: Vancomycin 600mg, intravenously, every 6 hours, for moderate infection  Child’s weight: 50 kg  Safe dose range: 10-15mg/kg/dose (max dose 750mg) every 6 hours    a) What is the safe low dose (mg/dose) for this child?  b) What is the safe high dose (mg/dose) for this child? c) Is the ordered dose safe for this child?  

Evaluate the indefinite integral \[\int_1^e  \ln\left(x^2\right)\;dx.\] (Hint: Integration by Parts.)

Order: Morphine 0.5mg, intravenously, every 4 hours, for pain  Patient’s weight: 6.31 kg  Safe dose range: 0.05-0.1mg/kg/dose every 4 hours    a) What is the safe low dose (mg/dose) for this child? Round to the nearest hundredth.  b) What is the safe high dose (mg/dose) for this child? Round to the nearest hundredth.   c) Is the ordered dose safe for this child? 

Which of the following definite integrals represents the volume of the solid obtained by rotating the region bounded by

Evaluate the integral \[\int_0^{\pi/2} \cos^3{x}\;dx.\](Hint: \(\sin^2{x}+\cos^2{x}=1\))

Order: Acetaminophen 375mg, oral, PRN every 4 hours, for fever  Child’s weight: 35 kg  Safe dose range: 10-15mg/kg/dose every 4 hours    a) What is the safe low dose (mg/dose) for this child?  b) What is the safe high dose (mg/dose) for this child?   c) Is the ordered dose safe for this child?

Order: Prednisolone 30mg, oral, twice daily for 5 days, for asthma  Supply: 3mg/1ml    a) How many milliliters (ml) will be administered to this child for each dose? 

You add nitrate reagents A and B to nitrate broth tube that was inoculated and it turns red right away.  This means:

What is the common name of this vector?